What is the Least Common Multiple of 41138 and 41154?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 41138 and 41154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41138 and 41154, than apply into the LCM equation.

GCF(41138,41154) = 2
LCM(41138,41154) = ( 41138 × 41154) / 2
LCM(41138,41154) = 1692993252 / 2
LCM(41138,41154) = 846496626

Least Common Multiple (LCM) of 41138 and 41154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41138 and 41154. First we will calculate the prime factors of 41138 and 41154.

Prime Factorization of 41138

Prime Factorization of 41154

Now multiplying the highest exponent prime factors to calculate the LCM of 41138 and 41154.

LCM(41138,41154) = 2¹ × 67¹ × 307¹ × 3¹ × 19³
LCM(41138,41154) = 846496626